2404896000 has 576 divisors, whose sum is σ = 8999617536. Its totient is φ = 565248000.

The previous prime is 2404895989. The next prime is 2404896023. The reversal of 2404896000 is 6984042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51167977 + ... + 51168023.

It is an arithmetic number, because the mean of its divisors is an integer number (15624336).

Almost surely, 2^2404896000 is an apocalyptic number.

2404896000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499808768).

2404896000 is an abundant number, since it is smaller than the sum of its proper divisors (6594721536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2404896000 is a wasteful number, since it uses less digits than its factorization.

2404896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2404896000 is about 49039.7389878861. The cubic root of 2404896000 is about 1339.7757105855.

The spelling of 2404896000 in words is "two billion, four hundred four million, eight hundred ninety-six thousand".